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Simplifying 2 + -3[(4x + -5) + -3x + -7] = 0 Reorder the terms: 2 + -3[(-5 + 4x) + -3x + -7] = 0 Remove parenthesis around (-5 + 4x) 2 + -3[-5 + 4x + -3x + -7] = 0 Reorder the terms: 2 + -3[-5 + -7 + 4x + -3x] = 0 Combine like terms: -5 + -7 = -12 2 + -3[-12 + 4x + -3x] = 0 Combine like terms: 4x + -3x = 1x 2 + -3[-12 + 1x] = 0 2 + [-12 * -3 + 1x * -3] = 0 2 + [36 + -3x] = 0 Combine like terms: 2 + 36 = 38 38 + -3x = 0 Solving 38 + -3x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-38' to each side of the equation. 38 + -38 + -3x = 0 + -38 Combine like terms: 38 + -38 = 0 0 + -3x = 0 + -38 -3x = 0 + -38 Combine like terms: 0 + -38 = -38 -3x = -38 Divide each side by '-3'. x = 12.66666667 Simplifying x = 12.66666667
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